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Finding the Fourth Proportional to 106,967.25, 160,425.36 and 35,892.45

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Solution

The fourth proportional to 106,967.25, 160,425.36 and 35,892.45 is: 53,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,967.25 : 160,425.36 = 35,892.45 : x
  2. Step 2: Convert to fraction form
    106,967.25/160,425.36 = 35,892.45/x
  3. Step 3: Cross multiply
    106,967.25x = 160,425.36 × 35,892.45
  4. Step 4: Simplify right side
    106,967.25x = 5,758,059,212.53
  5. Step 5: Solve for x
    x = 5,758,059,212.53/106,967.25
  6. Step 6: Final answer
    x = 53,830.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.